Volume of the cylinder=area (circle) x height
area (circle)=πr²
r=radius=4 in.
area=π(4 in)²=16π in²
height=8 in
Volume of the cylinder=(16π in²)(8 in)=128π in³≈402.12 in³
Answer= 128π in³ or 402.12 in³
Answer:
f(x) = - 8
Explanation:
The given function is
f(x) =2x^2 -4x -6
The first step is to find the derivative of the function. Recall, if
y = ax^b
y' = abx^(b - 1)
Thus,
f'(x) = 4x - 4
We would equate f'(x) to zero and solve for x. We have
4x - 4 = 0
4x = 4
x = 4/4
x = 1
We would substitute x = 1 into the original function and solve for f(x) or y. It becomes
f(1) =2(1)^2 -4(1) - 6 = 2 - 4 - 6
f(1) = - 8
Thus, the minimum value is f(x) = - 8
I also had to do this. So I am pretty sure the answer should be A.
I think this because if there is linear lines do intersect but no linear no lines intersect. Very sorry if I’m wrong.
Answer:
$1,700
Step-by-step explanation:
Given the following :
Period of mortgage = 25 years
Mortgage amount = $130,000
Total interest on mortgage = $380,000
Hence,
Total amount to be paid ( principal + interest) :
($130,000 + $380,000) = $510,000
Total number of months over the 25 years period:
25 × 12 = 300 months
Payment per month:
Total repayment / number of months
= $510,000 / 300
= $1,700 per month
You can set both equations together
y = -3x + 1
and y = x - 3
we can replace the y of one equation with the other side
-3x+1 = x-3
add 3x on both sides
1 = x + 3x -3
add 3 on both sides
1 + 3 = x+ 3x
simplify
4 = 4x
divide by 4 on both sides
x = 1
y = x - 3
y = 1 - 3
y = 2
So the solution is: (1,2)
